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Finding the Third Proportional to 54,762.75 and 82,875.09

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Solution

The third proportional to 54,762.75 and 82,875.09 is: 125,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762.75 : 82,875.09 = 82,875.09 : x
  2. Step 2: Convert to fraction form
    54,762.75/82,875.09 = 82,875.09/x
  3. Step 3: Cross multiply
    54,762.75x = 82,875.09 × 82,875.09
  4. Step 4: Simplify right side
    54,762.75x = 6,868,281,164.07
  5. Step 5: Solve for x
    x = 6,868,281,164.07/54,762.75
  6. Step 6: Final answer
    x = 125,418.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.